Chapter 4 · Class 9 CBSE · Worksheet

Linear Equations in Two Variables Worksheet — Class 9 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Questions — Linear Equations in Two Variables

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following is a linear equation in two variables?

A.2x + 3y = 5

B.x² + y = 7

C.xy = 4

D.3x = 9

Difficulty: Easy

Q2.Express the equation 3x = 5y - 8 in the standard form ax + by + c = 0 and identify the value of 'c'.

A.c = 8

B.c = -8

C.c = 3

D.c = -5

Difficulty: Easy

Q3.Which of the following points is a solution to the equation 2x + y = 7?

A.(1, 4)

B.(3, 2)

C.(2, 3)

D.(0, 7)

Difficulty: Easy

Q4.Which of the following points is a solution to the equation 2x + y = 7?

A.(1, 4)

B.(3, 2)

C.(2, 3)

D.(4, -1)

Difficulty: Easy

Q5.Which of the following points is a solution to the equation 2x + y = 7?

A.(1, 4)

B.(3, 2)

C.(2, 3)

D.(4, 0)

Difficulty: Easy

Q6.If (k, 2k) is a solution to the equation 3x - y = 8, what is the value of k?

A.8

B.4

C.2

D.8/5

Difficulty: Easy

Q7.How many solutions does a linear equation in two variables like 5x - 2y = 10 have?

A.Exactly one solution

B.Exactly two solutions

C.Infinitely many solutions

D.No solution

Difficulty: Easy

Q8.The cost of a storybook is ₹5 more than twice the cost of a pen. If the cost of the storybook is ₹x and the cost of the pen is ₹y, which linear equation represents this statement?

A.x = 2y - 5

B.x = 2y + 5

C.y = 2x + 5

D.y = 2x - 5

Difficulty: Easy

Answer Key — Sample Questions+

Q1:2x + 3y = 5

Q2:c = 8

Q3:(2, 3)

Q4:(2, 3)

Q5:(2, 3)

Q6:8

Q7:Infinitely many solutions

Q8:x = 2y + 5

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

Topic	Linear Equations in Two Variables
Board	CBSE
Class	9
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

Related Worksheets — Class 9 CBSE

Number Systems

Class 9 CBSE Worksheet

Polynomials

Class 9 CBSE Worksheet

Coordinate Geometry

Class 9 CBSE Worksheet

Introduction to Euclid's Geometry

Class 9 CBSE Worksheet

Lines & Angles

Class 9 CBSE Worksheet

Triangles

Class 9 CBSE Worksheet

Frequently Asked Questions

Where can I download a free Linear Equations in Two Variables worksheet for Class 9?+

You can download a free Linear Equations in Two Variables PDF worksheet for Class 9 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.

How many questions are in the Linear Equations in Two Variables worksheet?+

Each SparkEd worksheet for Linear Equations in Two Variables contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.

Does the Linear Equations in Two Variables worksheet include answers?+

Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

Practice Linear Equations in Two Variables Online — Free

Want more than a worksheet? Solve questions interactively with instant feedback, step-by-step solutions, and an AI coach. No signup required.

Start Practising Online

SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.